Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form
고
Answers
Answer:
The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].
Step-by-step explanation:
Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:
Triangular prism
[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]
[tex]V_{tp} = 90\,cm^{3}[/tex]
Cuboid
[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]
[tex]V_{c} = 600\,cm^{3}[/tex]
Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:
[tex]r = \frac{V_{tp}}{V_{c}}[/tex]
[tex]r = \frac{3}{20}[/tex]
The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].
Related Questions
True or False
Is 2-1 = 21 ?
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Answer:
false
Step-by-step explanation:
The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?
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Answer:
-5FStep-by-step explanation:
10-5x3=-5 F
A cube has a volume of 27 mm. What is the length of each edge of the cube? Plz help
Answers
Answer:
The length of each edge of the cube is 3 mm
Step-by-step explanation:
A cube has a volume of 27 mm.
Volume of cube = l³
l³ = 27 mm
l = 3 mm
Thus, The length of each edge of the cube is 3 mm
-TheUnknownScientist
Evaluate the function.
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Answer:
Step-by-step explanation:
Nothing further can be done with this topic.
f ( x ) = 3 x 2 − 10 x − 9
What fraction is equivalent to 75% of 1/3
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Answer:
1/4
Step-by-step explanation:
Which inequality is graphed?
1. 2<x
2. 2>x
3. 2<_x
4. 2>_x
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Answer: 3
Step-by-step explanation:
You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount (This is not multiple choice, you need to do a, b, and c)
a. $250
b. $300
c. $350
** Round to the NEAREST whole number**
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I need this solved! FAST! thank you
Answers
Answer:
188.24 (rounded)--- 188.2
Step-by-step explanation:
You want to first find the area of all the the different shapes you have...
you have 2 semicircles A= πr²/2 (because it is /2 you don't really need that because in the end you are going to *2 so just make the equation A= πr²)
you have a rectangle A= b*h
you have a triangle A = b*h/2
Semicircles: A= πr² = (3.14) 4² = (3.14*16) = 50.24
rectangle: A = b*h = 12*8 = 96
Triangle: A = b*h/2 = 12 * 7/2 = 84/2 = 42
then you add them up
50.24 + 96 + 42
= 188.24
Write an equation and solve. If hamburgers cost $4 each, how many can you buy with $12? a. 4x = 12; 3 hamburgers c. 12x = 4; 3 hamburgers b. 12 - 4x = 8; 8 hamburgers d. 4x - 12 = 8; 5 hamburgers Please select the best answer from the choices provided A B C D
Answers
What is the volume of the prism below?
A. 56 units 3
B. 144 units
C. 288 units
D. 180 units
Answers
Answer:
C ,288Step-by-step explanation:
hope this helpsWhich two teams have equivalent
100
ratios of wins to losses?
Team Wins Losses
Leopards
15
10
Pirates
12
8
Knights
14
7
Lions
18
10
Answers
Answer:
knights and leopards
Step-by-step explanation
How many yards are equal to 144 inches? (15 points)
Select one:
a. 4 yards
b. 12 yards
c. 36 yards
d. 5,184 yards
Answers
Answer:
A- 4 yards
Step-by-step explanation:
Hope this helps!
Have a nice day <3
After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.
Given that,
Change the number 144 inches into yards.
Used the concept of measurement unit which stated that,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that,
1 yards = 36 inches
1 inch = 1/36 yards
So, we can change the number 144 inches into yards,
1 inch = 1/36 yards
144 inches = 144/36 yards
= 4 yards
Therefore, 144 inches is equivalent to 4 inches.
Option (a) is true.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ6
DOES ANYONE KNOW WHAT HAPPENS IF YOU CLICK THE LINKS?
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Answer:
Your personal information is stolen. Stay away from them under all circumstances.
Which shows a correct set of steps for adding 614 and 3516?
Answers
Answer:
Option A
Step-by-step explanation:
The unit volume explains it all.
Volumes are measured in units of length cubed. This also is the volume occupied by unit cubes.
By unit cubes, I meant, view the photo above
The volume of an object's says, how many of these cubes will fill that object.
It may not necessarily by a whole number.
So, the answer is Option A
Step-by-step explanation:
HELP making brainliest if it's correct and explain NO explaintion=no brainliest
HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE
Answers
Answer:
E = (-3a, -2b)
O = (3a, 2b)
M = (3a, -2b)
Step-by-step explanation:
Fill in the blanks with the correct words:
An event that has probability O is said to be
An event that has probability 1 is said to be
Answers
Answer:
Impossible; certain to happen
Step-by-step explanation:
Probability = 0 applies to an event which cannot happen. Example: roll a die and get a 7.
Probability = 1 applies to an even which is certain to occur. Example: roll a die and get a number less than 8.
Solve for u.
11u = -22
Simplify your answer as much as possible. <3
u = ???
Answers
Answer:
u=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
11u=−22
Step 1: Divide both sides by 11.
11u
11
=
−22
11
u=−2
Answer:
u=−2
Sandra bought a pair of leather boots that were marked down by 20%. The original cost of the boots was $150. What did Sandra pay for the boots
Answers
Answer:
130 maybe
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
It is 120 because if you do 20% of 150 that's 30 so subtract that with 150 leaving you 120.
Super urgent please help urgent
Answers
Answer:
A) the value is less than 67
Step-by-step explanation:
use the graph f(x)=-x^2+8x+20 to determine the values of m for which m= -x^2+8x+m=0 will have two positive roots
Answers
Answer:
first root -2 and the second is 10
Step-by-step explanation:
delta=b squared-4ac=64-4(-1)(20)=144>0
then we have 2 +roots
x1= -b+ radical delta/2a =-2
x2=-b - radical delta/2a=10
The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.
What is a polynomial?A polynomial is an expression that involves the addition, subtraction and multiplication of variables.
A quadratic polynomial is a polynomial of degree 2.
Given that:
f(x)=-x² + 8x + 20
To determine the values of m for which -x² +8x+m=0 would have two positive roots
For -x² +8x+m=0 to have two positive roots, m ≤ 0.
The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.
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Simplify. (Use the form a + bi.)
3 − 6i
−7i
Answers
Answer:
3 - 13i
Step-by-step explanation:
3 - 6i - 7i
3 - 13i
LEARNING TASK 3:
Directions: Given that b ∥ c with d as
transversal. Find the value of x in the
following.
1. ∠4 = 5x, ∠5 = 120°
2. ∠1 = 100°, ∠7 = 10x
3. ∠2 = 3x - 10, ∠6= x + 30
4. ∠4 = 3x + 10, ∠6= 2x + 20
5. ∠1 = 7x + 9, ∠5 = 5x + 31
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Answers
Step-by-step explanation:
1. Angle 5 = 120 degree
Angle 5 = Angle 6 ( alternate exterior angles are equal )
Therfore, Angle 6 = 120 degree
Angle 6 = Angle 4 ( Vertically opposite angles are equal )
Therfore, Angle 4 = 120 degree
Angle 4 = 5x
120 = 5x
120/5 = x
40 = x
Therefore x = 40 degree.
2. Angle 1 = 100 degree
Angle 1 = Angle 7 ( vertically opposite angles are equal )
Therefore, Angle 7 = 100 degree
Angle 7 = 10x
100 = 10x
100/10 = x
10 = x
Therefore x = 10 degree
I want some more time for this question.
The ages in years, of a group of friends are listed.
29, 33, 35, 49, 50, 51, 52, 29
Find the following (all answers are whole numbers):
Mean:
Median:
Mode:
Range:
Which measure best represents the data? (Write mean, median, mode, or range using lowercase letters and make sure it is spelled correctly)
Answers
Answer:
Mean: 29
Median: 42
Mode: 29
Range: 23
Step-by-step explanation:
brainlest plzzz
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Answer:
I think the answer is C.
Step-by-step explanation:
A triangle inside always has to add up to 180. So of you subtract 78 and 41 from 180 it wil give you 61
find the solution to this system 5x - 2y = -11 -2x + 5y = 17 to create x coefficients that are additive inverses equation 1 can be multiplyed by
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Answer:
A term can be a constant or a variable or both in an expression. ... Understanding how to solve math problems becomes easier as one learns ... Additive inverse The opposite of a number or its negative. ... The numbers a, b, and c are the coefficients of the equation and may be ... The arithmetic mean, denoted x, of a set of.
Step-by-step explanation:
which are the complementary angles?
Answers
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
please amrk this answer as brainliest
What’s the answer towards this question ?
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Step-by-step explanation:
hope this help have a great day
Which is the answer. A B C D?
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Answer:
I’m pretty sure it’s B
Step-by-step explanation:
A mortgage has the terms shown below:
Balloon mortgage
$300,000
25/5 balloon
6% annual rate
Initial Monthly Payment: $1932.90
What is the amount of the balloon payment rounded to the nearest dollar?
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plz help emergency!!!!!!!
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Answer:
What
Step-by-step explanation: